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  • The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circle <img alt="\mathrm{x^2+y^2=1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cm

The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circle \mathrm{x^2+y^2=1}  pass through a fixed point -

 

Option: 1

\mathrm{(2,4)}


Option: 2

\mathrm{\left(-\frac{1}{2},-\frac{1}{4}\right)}


Option: 3

\mathrm{\left(\frac{1}{2}, \frac{1}{4}\right)}


Option: 4

\mathrm{(-2,-4)}


Answers (1)

best_answer

The chord of contact of tangents from (\alpha, \beta) is

\alpha x+\beta y=1  -------------(1)

Hence, (1) passes through \left(\frac{1}{2}, \frac{1}{4}\right) \text {. }

 

Posted by

himanshu.meshram

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